Modern Graph Theory
by Béla Bollobás · Béla Bollobás
Bollobás presents graph theory from an advanced standpoint, connecting extremal and random graphs to algebraic methods, electrical networks, and the Tutte polynomial. Readers finish able to follow modern research papers and apply probabilistic arguments to combinatorial problems.
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More resources on Graph Theory
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Searchable repository from Ghent University holding graphs that appear as extremal examples or counterexamples, each with precomputed invariants such as chromatic number, diameter, and girth. Use it to test conjectures and find concrete examples quickly.
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Official site for Reinhard Diestel's Springer graduate text, where the main text is readable free online and paid eBook editions add the full apparatus. It covers matching, connectivity, planarity, colouring, flows, extremal theory, and minors.
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Visualgo.net
Interactive visualization module from VisuAlgo, built at the National University of Singapore, showing how graphs are stored as adjacency matrices, adjacency lists and edge lists, so learners can compare these representations and trace graph operations step by step.
GeeksforGeeks Graphs
Tutorials and problems